Feedback-controlled exponential synchronization of a coronary artery chaos system with state and input time-varying delays in complex dynamical networks

Volume 40, Issue 4, pp 513--532 https://dx.doi.org/10.22436/jmcs.040.04.05

Publication Date: August 19, 2025 Submission Date: May 05, 2025 Revision Date: June 01, 2025 Accteptance Date: July 12, 2025

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Authors

C. Chantawat - Department of Mathematics and Statistics, Faculty of Science and Technology, Sakon Nakhon Rajabhat University, Sakon Nakhon 47000, Thailand. S. Wongaree - Institute of General Education, Udon Thani Rajabhat University, Udon Thani 41000, Thailand. N. Ruttanaprommarin - Department of Science and Mathematics, Faculty of Industry and Technology, Rajamangala University of Technology Isan, Sakonnakhon Campus, Sakonnakhon 47160, Thailand. N. Yotha - Department of Applied Mathematics and Statistics, Faculty of Science and Liberal Arts, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand.

Abstract

The exponential synchronization of the coronary artery chaos system (CACS) in complex dynamical networks (CDNs) with state and input time-varying delays is being studied for the first time. For the CACS in CDNs, feedback control was envisioned. To enable exponential synchronization of the CACS in CDNs with continuous differential time-varying delays, an appropriate Lyapunov-Krasovskii functional (LKF) was constructed. An extended reciprocally convex matrix inequality, Jensen inequality, and Wirtinger-based integral inequality, which further decreases conservativeness, were considered when establishing the synchronization criterion. The new linear matrix inequalities (LMIs) that are required for exponential synchronization have emerged. Numerical checks may be accomplished using MATLAB's LMI toolbox. To demonstrate the efficiency of the recommended strategies, numerical examples were provided.

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Keywords

• Coronary artery chaos system
• complex dynamical networks
• exponential synchronization
• time-varying delays
• feedback control

MSC

•  34C28
•  34D06
•  34D20

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